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Finding the Fourth Proportional to 83,648.86, 125,471.23 and 20,468.48

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Solution

The fourth proportional to 83,648.86, 125,471.23 and 20,468.48 is: 30,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648.86 : 125,471.23 = 20,468.48 : x
  2. Step 2: Convert to fraction form
    83,648.86/125,471.23 = 20,468.48/x
  3. Step 3: Cross multiply
    83,648.86x = 125,471.23 × 20,468.48
  4. Step 4: Simplify right side
    83,648.86x = 2,568,204,683.30
  5. Step 5: Solve for x
    x = 2,568,204,683.30/83,648.86
  6. Step 6: Final answer
    x = 30,702.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.